Home
Class 11
MATHS
If Sn denotes the sum of n terms of an A...

If `S_n` denotes the sum of n terms of an A.P. whose first term is a, and the common difference is d Find: = Sn - 2Sn + S(n +2)` .

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    MODERN PUBLICATION|Exercise EXERCISE|435 Videos

  • RELATIONS AND FUNCTIONS

    MODERN PUBLICATION|Exercise EXERCISE|226 Videos

  • SETS

    MODERN PUBLICATION|Exercise EXERCISE|381 Videos

Similar Questions

Explore conceptually related problems

Find the sum of first n terms of an A.P. whose nth term is 3n+1.

Find the sum to n terms of the A.P. whose kth term is 5k + 1.

Write first four terms of A.P. when first term a = -2and common difference d= 0.

Write first four terms of A.P. when first term a = 3 and common difference d= 2.

Write first four terms of A.P. when first term a = 4 and common difference d = 3.

Find the sum to n terms of the A.P., whose k^(th) term is 5k+ 1 .

The sum of n terms of an A.P. whose first term is 5 and common difference is 36 is equal to the sum of 2n terms of another A.P. whose first term is 36 and common difference is 5. Find n.

Write first four terms of the A.P. when the first term a = 4 and common difference d = -3 .

Write first four terms of the A.P. when the first term a = 4 and common difference d = - 3.

By the Principle of Mathematical Induction, prove the following for all n in N : The nth term of an A.P. whose first term is 'a’ and common difference ‘d' is a + (n-1) d.

MODERN PUBLICATION-SEQUENCES AND SERIES-EXERCISE
  1. Show that the sequence : log a, log (ab), log (ab^2), log (ab^3),........

    Text Solution

    |

  2. How many number of two digits are divisible by 7 ?

    Text Solution

    |

  3. If Sn denotes the sum of n terms of an A.P. whose first term is a, and...

    Text Solution

    |

  4. If S(1),S(2),S(3),"....",S(p) are the sums of n terms of p AP's whose ...

    Text Solution

    |

  5. If the sum of m terms of an AP is equal to the sum of either the next ...

    Text Solution

    |

  6. If the sum of first p terms of an A.P. is equal to the sum of the firs...

    Text Solution

    |

  7. The first term of an A.P. is a, the second term is b and last term is ...

    Text Solution

    |

  8. Find the sum of all numbers in the first 1000 integers, which are neit...

    Text Solution

    |

  9. A man gets an appointment with two options Either he can accept ₹ 45 p...

    Text Solution

    |

  10. A farmer, buys a used tractor for Rs.. 12000. He pays Rs.6000 cash and...

    Text Solution

    |

  11. Shamshad Ali buys a scooter for Rs 22000 He pays Rs. 4000 cash And ag...

    Text Solution

    |

  12. Two cars start together in the same direction at the same place.The fi...

    Text Solution

    |

  13. The ages of the students of a class form an A.P. whose common differen...

    Text Solution

    |

  14. If b^2+c^2, c^2+a^2, a^2+b^2 are in A.P. prove that : 1/(b + c), 1/(c...

    Text Solution

    |

  15. If a^(-1),b^(-1),c^(-1),d^(-1) are in A.P., then show that : b=(2ac)/(...

    Text Solution

    |

  16. If a(1)=1, a(2)=5 find the common difference and 5th term of A.P

    Text Solution

    |

  17. If the A.M. between pth and qth terms of an A.P. be equal to the A.M. ...

    Text Solution

    |

  18. If a, b, c are in A.P., prove that : a^3+4b^3+c^3=3b (a^2+c^2).

    Text Solution

    |

  19. If a^2 (b+c),b^2(c+a) , c^2(a+b) are in A.P., show that : either a, b,...

    Text Solution

    |

  20. If the mth, nth and pth terms of a G.P. form three consecutive terms o...

    Text Solution

    |